A game that draws 3 digits from 0-9 from three separate machines. What is the probability of winning a “straight” bet by matching the three digits in the exact order? What is the probability of winning a “box” bet by matching the three digits in any order? What is the probability of not matching any numbers on a ticket?

Q: A fun size bag of M&Ms has about 17 candies. You open one of the bags and discover: 3 Blues, 4…

A: From the information, given thatThe total number of candies=17The total number of blue candies =…

Q: Neither Andrew nor David likes to set the table for dinner. They toss a coin to decide who will set…

A: Here, setting the table decided on toss So, the probability of getting tail is  =1/2 For one day…

Q: determine the odds in favor of rolling "Snake Eyes" on the first roll of a pair of dice

A: the odds in favor of rolling "Snake Eyes" on the first roll of a pair of dice

Q: You draw one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled,…

A:

Q: When I drive from my apartment to UCSD, I want to choose 2 out of 5 songs from Olivia Rodrigo's new…

A: From the given information,out of 5 songs, 2 songs must be chosenThe order of songs mattersVampire…

Q: Find the probability of a family having four boys in a row.

A: There are two genders for a baby either it’s a boy or a girl. So, there are a total two events –…

Q: A game is played with 3 fair coins. If 2 or 3 heads are obtained, the player wins. What is the…

A: toss 3 coin win if 2 or 3 heads rolled P(win) = ?

Q: A restaurant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. The…

A: Given that Jo puts 5 cards and there are total 100 cards. So the number of favorable cases= 5 The…

Q: A game show has 5 doors concealing prizes. There are new cars behind 2 doors and consolation prizes…

A:

Q: There are 20 sides to the messages.  What is the probability of getting the same message 2 times in…

A: The probability of getting a specific message on the first try is 1/20,since there are 20 total…

Q: You are playing roulette at a casino in the United States. The wheel has 18 red slots, 18 black…

A: From the given information, the wheel has 18 red slots, 18 black slots and 2 two green slots. That…

Q: A bag contains 9 blue marbles, 10 red marbles, 4 white marbles. If one marble is drawn from the bag…

A: Given Information: A bag contains 9 blue marbles, 10 red marbles, 4 white marbles. Total number of…

Q: What is the probability of selecting a card that is less than 7 or a heart. Ace is a low card

A: We need to find the probability of selecting a card that is less than 7 or a heart.In a deck we have…

Q: Dr. Neel asks you if you would like to play a game of chance. He has a jar filled with 100 marbles.…

A: Total marbles, n= 100 Probability of selecting Blue marble= probability of earn 1 point= P(B)=…

Q: A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor…

A:

Q: The chance of winning Florida's Pick-6 Lotto game is 1 in approximately 23 million. Suppose you buy…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: In a poker hand consisting of 5 cards, find the probability of holding (a) 3 jacks; (b) 3 clubs and…

A: Given that ,In a poker hand consisting of 5 cards .We have to find the probability of holding(a) 3…

Q: in a box there are 500 colored balls: 75 black, 150 green, 175 red, 70 white, and 30 blue. What are…

A: Among 500 balls of different colors there is 75 black balls The probability of selecting a black…

Q: A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor…

A:

Q: Suppose that in a particular game two dice are tossed. If the two dice sum to nine or eleven, the…

A: Total number of possible outcomes while tossing two coins =36 Total possible events for sum to nine…

Q: determine the odds against of rolling "snake eyes" on the first roll of a pair of dice.

A: Snake eyes: Rolling two dice and getting 1 on both the die is considered as Snake eyes. Sample…

Q: Currently, the second most common multi-number game is the 6/49 lottery. It is played in…

A: We have to find given probability

Q: Mario has 3 nickels , a dime, and 2 quarters in his pocket. What is the probability that he randomly…

A:

Q: Pacquiao chooses 10 candies from a bag of 100 candies. There are 10 red, 20 yellow, 20 green, 25…

A: Probability is defined as the total number of favorable cases of an event divided by the total…

Q: In a horse race with 5 horses, you make a bet by predicting the ranking of all 5 horses. Suppose you…

A: The probability that you will rank the top 2 horses incorrectly in the incorrect order is obtained…

Q: Joanna had 3 roses, 4 tulips, and 1 carnation in a vase. She randomly selected one flower, took a…

A: Given Data: Let X represent the random variable   n=2 p=3/8   X~ Binomial (2, 3/8)

Q: What is the probability of a dice showing a 1 or 5?

A: From the provided information, Total outcomes of throwing a dice = 6

Q: person draws 3 cards without replacement from a standard​ 52-card deck. Find the probability of…

A: drawn 3 cards without replacement from a standard 52 card deck.  P(exactly 2 black cards) = ?

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.